Introduction to linear algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Wellesley, Ma.
Wellesley-Cambridge Press
1998
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 502 S. graph. Darst. |
| ISBN: | 0961408855 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804128220541353984 |
|---|---|
| adam_text | INTRODUCTION TO LINEAR ALGEBRA SECOND EDITION GILBERT STRANG
MASSACHUSETTS INSTITUTE OF TECHNOLOGY WELLESLEY-CAMBRIDGE PRESS BOX
812060 WELLESLEY MA 02482 TABLE OF CONTENTS 1 INTRODUCTION TO VECTORS 1
1.1 VECTORS AND LINEAR COMBINATIONS 1 1.2 LENGTHS AND DOT PRODUCTS 10 2
SOLVING LINEAR EQUATIONS 21 2.1 VECTORS AND LINEAR EQUATIONS 21 2.2 THE
IDEA OF ELIMINATION 34 2.3 ELIMINATION USING MATRICES 44 2.4 RULES FOR
MATRIX OPERATIONS 54 2.5 INVERSE MATRICES 66 2.6 ELIMINATION =
FACTORIZATION: A = LU 11 2.7 TRANSPOSES AND PERMUTATIONS 89 3 VECTOR
SPACES AND SUBSPACES 101 3.1 SPACES OF VECTORS 101 3.2 THE NULLSPACE OF
A: SOLVING AX -0 111 3.3 THE RANK AND THE ROW REDUCED FORM 122 3.4 THE
COMPLETE SOLUTION TO AX = B 131 3.5 INDEPENDENCE, BASIS AND DIMENSION
141 3.6 DIMENSIONS OF THE FOUR SUBSPACES 155 4 ORTHOGONALITY 165 4.1
ORTHOGONALITY OF THE FOUR SUBSPACES 165 4.2 PROJECTIONS 174 4.3 LEAST
SQUARES APPROXIMATIONS 184 4.4 ORTHOGONAL BASES AND GRAM-SCHMIDT 195 5
DETERMINANTS 207 5.1 THE PROPERTIES OF DETERMINANTS 207 5.2 PERMUTATIONS
AND COFACTORS 217 5.3 CRAMER S RULE, INVERSES, AND VOLUMES 230 6
EIGENVALUES AND EIGENVECTORS 245 6.1 INTRODUCTION TO EIGENVALUES 245 6.2
DIAGONALIZING A MATRIX 258 6.3 APPLICATIONS TO DIFFERENTIAL EQUATIONS
271 6.4 SYMMETRIC MATRICES 283 , III IV TABLE OF CONTENTS 6.5 POSITIVE
DEFINITE MATRICES 6.6 SIMILAR MATRICES 6.7 SINGULAR VALUE DECOMPOSITION
(SVD) 7 LINEAR TRANSFORMATIONS 7.1 THE IDEA OF A LINEAR TRANSFORMATION
7.2 THE MATRIX, OF A LINEAR TRANSFORMATION 7.3 CHANGE OF BASIS 7.4
DIAGONALIZATION AND THE PSEUDOINVERSE 8 APPLICATIONS 8.1 GRAPHS AND
NETWORKS 8.2 MARKOV MATRICES AND ECONOMIC MODELS 8.3 LINEAR PROGRAMMING
8.4 FOURIER SERIES: LINEAR ALGEBRA FOR FUNCTIONS 8.5 COMPUTER GRAPHICS 9
NUMERICAL LINEAR ALGEBRA 9.1 GAUSSIAN ELIMINATION IN PRACTICE 9.2 NORMS
AND CONDITION NUMBERS 9.3 ITERATIVE METHODS FOR LINEAR ALGEBRA 10
COMPLEX VECTORS AND MATRICES 10.1 COMPLEX NUMBERS 10.2 HERMITIAN AND
UNITARY MATRICES 10.3 THE FAST FOURIER TRANSFORM SOLUTIONS TO SELECTED
EXERCISES MIT COURSE 18.06 FINAL EXAM MATRIX FACTORIZATIONS INDEX
TEACHING CODES Q
|
| any_adam_object | 1 |
| author | Strang, Gilbert 1934- |
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| classification_tum | MAT 150f |
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| dewey-full | 512.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.5 |
| dewey-search | 512.5 |
| dewey-sort | 3512.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T18:45:47Z |
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| isbn | 0961408855 |
| language | English |
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| physical | VII, 502 S. graph. Darst. |
| publishDate | 1998 |
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| spelling | Strang, Gilbert 1934- Verfasser (DE-588)141888474 aut Introduction to linear algebra Gilbert Strang 2. ed. Wellesley, Ma. Wellesley-Cambridge Press 1998 VII, 502 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content Lineare Algebra (DE-588)4035811-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009166275&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Strang, Gilbert 1934- Introduction to linear algebra Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4151278-9 (DE-588)4123623-3 |
| title | Introduction to linear algebra |
| title_auth | Introduction to linear algebra |
| title_exact_search | Introduction to linear algebra |
| title_full | Introduction to linear algebra Gilbert Strang |
| title_fullStr | Introduction to linear algebra Gilbert Strang |
| title_full_unstemmed | Introduction to linear algebra Gilbert Strang |
| title_short | Introduction to linear algebra |
| title_sort | introduction to linear algebra |
| topic | Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algebras, Linear Lineare Algebra Einführung Lehrbuch |
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